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Finding the Third Proportional to 166,181 and 362,437

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Solution

The third proportional to 166,181 and 362,437 is: 790,466.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,181 : 362,437 = 362,437 : x
  2. Step 2: Convert to fraction form
    166,181/362,437 = 362,437/x
  3. Step 3: Cross multiply
    166,181x = 362,437 × 362,437
  4. Step 4: Simplify right side
    166,181x = 131,360,578,969
  5. Step 5: Solve for x
    x = 131,360,578,969/166,181
  6. Step 6: Final answer
    x = 790,466.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.